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A new lattice Bhatnagar--Gross--Krook (LBGK) model for a class of the generalized
Burgers equations is proposed. It is a general LBGK model for nonlinear Burgers
equations with source term in arbitrary dimensional space. The linear stability of
the model is also studied. The model is numerically tested for three problems in
different dimensional space, and the numerical results are compared with either
analytic solutions or numerical results obtained by other methods. Satisfactory
results are obtained by the numerical simulations. 相似文献
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